Jz. Yang et al., DUFFING EQUATION WITH 2 PERIODIC FORCINGS - THE PHASE EFFECT, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 53(5), 1996, pp. 4402-4413
A weak additional sinusoidal perturbation is applied to the periodical
ly forced nonlinear oscillator to suppress chaos. Numerical simulation
s show that the phase difference between the two sinusoidal forces pla
ys a very important role in controlling chaos. When the frequencies of
these forces deviate from the resonance condition slightly, a differe
nt type of intermittency, alternation from regular motion to chaotic m
otion (called breather here), is observed. If the phase difference fol
lows a Wiener process, conventional intermittency is observed.